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144526045350 = 23528950921269
BaseRepresentation
bin1000011010011001101…
…1000111000010100110
3111211001021020210202110
42012212123013002212
54331442131422400
6150221102421450
713304330054541
oct2064633070246
9454037223673
10144526045350
1156325203a95
1224015591886
131082348773b
146dd0797858
153b5d256e50
hex21a66c70a6

144526045350 has 96 divisors (see below), whose sum is σ = 363180996000. Its totient is φ = 38030586880.

The previous prime is 144526045337. The next prime is 144526045361. The reversal of 144526045350 is 53540625441.

It is a junction number, because it is equal to n+sod(n) for n = 144526045299 and 144526045308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6784516 + ... + 6805784.

It is an arithmetic number, because the mean of its divisors is an integer number (3783135375).

Almost surely, 2144526045350 is an apocalyptic number.

144526045350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144526045350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181590498000).

144526045350 is an abundant number, since it is smaller than the sum of its proper divisors (218654950650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144526045350 is a wasteful number, since it uses less digits than its factorization.

144526045350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21882 (or 21877 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 144526045350 in words is "one hundred forty-four billion, five hundred twenty-six million, forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 267 445 509 534 890 1018 1335 1527 2225 2545 2670 3054 4450 5090 6675 7635 12725 13350 15270 21269 25450 38175 42538 45301 63807 76350 90602 106345 127614 135903 212690 226505 271806 319035 453010 531725 638070 679515 1063450 1132525 1359030 1595175 1892941 2265050 3190350 3397575 3785882 5678823 6795150 9464705 10825921 11357646 18929410 21651842 28394115 32477763 47323525 54129605 56788230 64955526 94647050 108259210 141970575 162388815 270648025 283941150 324777630 541296050 811944075 963506969 1623888150 1927013938 2890520907 4817534845 5781041814 9635069690 14452604535 24087674225 28905209070 48175348450 72263022675 144526045350